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kotegsom [21]
3 years ago
15

What is the perimeter?

Mathematics
1 answer:
LenKa [72]3 years ago
8 0

Answer:

41.13m

Step-by-step explanation:

the circumference of the circle is 25.13 and the 8 on both sides equals to 16

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A new mixture of​ self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70
vazorg [7]
For each ounce of the product, let
x = ounces of moisturizing lotion used,
y  = ounces of self-tanning lotion used.

The sum of the two lotions per ounce is equal to one ounce. Therefore
x + y = 1             (1)

Moisturizing lotion costs $0.70 per ounce. 
Self-tanning lotion costs $22 per ounce.

Because the product costs $1.30 per ounce. Therefore
0.70x + 22y = 1.30        (2)

From (1), obtain
y = 1 - x                       (3)

Substitute (3) into (2).
0.70x + 22(1 - x) = 1.30
0.70x - 22x + 22 = 1.30
-21.3x = -20.7
x = 0.9718 ounces
From (3), obtain
y = 1 - 0.9718 = 0.0282 ounces.

A batch of the product is 700 ounces. Therefore the amount of self-tanning lotion used is
700*y = 700*0.0282 = 19.74 ounces

Answer: 19.74 ounces

8 0
4 years ago
Helwp please thank uuu!
Minchanka [31]

Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>,</u></em></h3>
  • GRAM is a parallelogram
  • m<GMA = 66°
  • m<GRP = 32°
  • m<PAM = 41°
<h3><em><u>Solutions</u></em><em><u>:</u></em></h3>

i) <em>Since</em><em>,</em>

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <em><u><RGM = </u></em><em><u>114</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

ii) <em>Since</em><em>,</em>

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<em><GRP = <PMA = 32°</em>

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <em><u><</u></em><em><u>GMP</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>34</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iii) <em>Since</em><em>,</em>

Opposite angles of a parallelogram are equal so,

<em><</em><em>RGM</em><em> = <</em><em>RAM</em><em> = </em><em>114</em><em>°</em>

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <em><u><</u></em><em><u>GAR</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>73</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iv) <em>Since</em><em>,</em>

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <em><u><</u></em><em><u>MPA</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>107</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

7 0
2 years ago
Pleaseeeee help for 10points !​
Virty [35]

Answer:

-3/2

Step-by-step explanation:

Because 3 is on the postive side and 2 is on the negative

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872 times 3=2616, just try to use a Calculator if you can
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Slope:

1

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3 years ago
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